How to model the decrease of a bear population exponentially

The video tutorial explains how to calculate the future population of bears in a wildlife refuge using exponential growth. Starting with an initial population in 2009, the teacher guides students through setting up and applying a formula to determine the population in 2020. The process involves calculating the growth rate and applying it over a period of 11 years. The tutorial emphasizes understanding each component of the formula and using a calculator for precise results.

What was the initial bear population in the Wildlife Refuge in 2009?

• 1570

• 1884

• 2020

• 314

How do you calculate the growth rate between two years?

• Y2 / Y1

• Y1 / Y2

• Y2 - Y1

• (Y2 - Y1) / Y1

What was the calculated growth rate of the bear population from 2009 to 2010?

• 15%

• 25%

• 10%

• 20%

How many years passed between the initial year and the year for which the population is predicted?

• 12

• 11

• 10

• 9

What is the predicted bear population in 2020 based on the exponential growth model?

• 11,665

• 8,000

• 13,000

• 10,500